An engine controlling apparatus for executing (i) an engine automatic stop control and/or (ii) an engine automatic restart control, during running of a vehicle. The controlling apparatus includes: an allowing/inhibiting device configured to selectively allow and inhibit execution of (i) the engine automatic stop control and/or (ii) the engine automatic restart control, by comparing each of at least one of (a) a plurality of physical amounts including (a-1) behavior-representing physical amounts and (a-2) turning-behavior-influencing physical amounts, with (b) a threshold value which is determined, depending on a running velocity of the vehicle, for the each of the at least one of the physical amounts. The behavior-representing physical amounts include at least one turning-behavior-representing physical amount. The allowing/inhibiting device includes a turning-behavior-basis allowing/inhibiting portion that is configured to selectively allow and inhibit the execution of (i) the engine automatic stop control and/or (ii) the engine automatic restart control, by comparing each of the at least one turning-behavior-representing physical amount, with the threshold value.